Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487s |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
361688152449429 = 313 · 136 · 47 |
Discriminant |
Eigenvalues |
-2 3- -3 3 -5 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18759,-375138] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:760:1] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
2.3955163967 |
L(r)(E,1)/r! |
Ω |
0.42925360378339 |
Real period |
R |
1.3951638237995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23829j1 423e1 |
Quadratic twists by: -3 13 |